GCD of 872, 492, 228, 870 Calculator

Given Input numbers are 872, 492, 228, 870

In the factoring method, we have to find the divisors of all numbers

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

GCD of numbers is the greatest common divisor

So, the GCD (872, 492, 228, 870) = 2.

Given numbers are 872, 492, 228, 870

The list of prime factors of all numbers are

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 870 are 2 x 3 x 5 x 29

The highest common occurrence is 2¹

Therefore, GCD of 872, 492, 228, 870 is 2.

Given numbers are 872, 492, 228, 870

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(872, 492) = 107256

GCD(872, 492) = ( 872 x 492 ) / 107256

= 872 / 492

= 872

Step2:

LCM(4, 228) = 228

GCD(4, 228) = ( 4 x 228 ) / 228

= 4 / 228

= 4

Step3:

LCM(4, 870) = 1740

GCD(4, 870) = ( 4 x 870 ) / 1740

= 4 / 870

= 4

So, Greatest Common Divisor of 872, 492, 228, 870 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 878, 306, 407, 766
• GCD of 483, 801, 267, 876
• GCD of 800, 765, 219, 422
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• GCD of 337, 460, 928, 511

Given numbers are 872, 492, 228, 870
The greatest common divisor of numbers 872, 492, 228, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 492, 228, 870 is 2.

1. What is the GCD of 872, 492, 228, 870?

GCD of given numbers 872, 492, 228, 870 is 2

2. How to calculate the greatest common divisor of 872, 492, 228, 870?

We can find the highest common divisor of 872, 492, 228, 870 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 872, 492, 228, 870 i.e 2.

3. How can I use the GCD of 872, 492, 228, 870Calculator?

Out the numbers 872, 492, 228, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.